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Finding the Fourth Proportional to 164,521.71, 246,751.38 and 80,197.14

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Solution

The fourth proportional to 164,521.71, 246,751.38 and 80,197.14 is: 120,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,521.71 : 246,751.38 = 80,197.14 : x
  2. Step 2: Convert to fraction form
    164,521.71/246,751.38 = 80,197.14/x
  3. Step 3: Cross multiply
    164,521.71x = 246,751.38 × 80,197.14
  4. Step 4: Simplify right side
    164,521.71x = 19,788,754,967.05
  5. Step 5: Solve for x
    x = 19,788,754,967.05/164,521.71
  6. Step 6: Final answer
    x = 120,280.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.